Open AccessAnomalous scaling of the growth equations with spatially and temporally correlated noise
Author(s) -
Liping Zhang
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.2902
Subject(s) - scaling , physics , renormalization group , statistical physics , noise (video) , limit (mathematics) , critical dimension , mathematical physics , mathematical analysis , mathematics , quantum mechanics , geometry , artificial intelligence , computer science , image (mathematics)
A dynamic renormalization-group method is generalized to explore the anomalously dynamic scaling property of kinetic roughening growth equation and the general conclusion on the anomalous exponents of the growth equation with spatially and temporally correlated noise is drawn. The results of the anomalous exponents are employed in several typical local growth equationswhich include the Kardar-Parisi-ZhangKPZequationlinear equation and Lai-Das Sarma-VillainLDV equation, to judge the condition of anomalous scaling behaviors. Analysis shows that within the long wavelength limit the dynamic scaling property of a growth equation is related to the most relevant term, the dimension of the system and noise; and if the anomalous scaling of the equation exists, super_roughening instead of intrinsic anomalous roughening will be displayed in local growth models.